# What is the leading term, leading coefficient, and degree of this polynomial f(x) = 3x^5 + 6x^4 – x – 3?

Apr 19, 2018

color(green)("Leading Term is ") color(blue)( 3x^5

color(green)("Leading degree " = 5,) color(blue)(" exponent of " 3x^5

color(green)("Leading coefficient " = 3,) color(blue)( " coefficient of " 3x^5

#### Explanation:

$f \left(x\right) = 3 {x}^{5} + 6 {x}^{4} - x - 3$

1. Identify the term containing the highest power of x. to find the leading term.

color(green)("Leading Term is ") color(blue)( 3x^5

1. Find the highest power of x. to determine the degree function

color(green)("Leading degree " = 5,) color(blue)(" exponent of " 3x^5
.
3. Identify the coefficient of the leading term.

color(green)("Leading coefficient " = 3,) color(blue)( " coefficient of " 3x^5